Dynamic response analysis of a rotating Rayleigh beam with periodically radial and axial forces

• Main Authors: Ming-Lun Yang, 楊明倫
• Other Authors: Yii-Mei Huang
• Format: Others
• Language: zh-TW
• Published: 2005
• Online Access: http://ndltd.ncl.edu.tw/handle/81461412012747002502

碩士 === 國立中央大學 === 機械工程研究所 === 93 === This paper formulates the processing of the lathe. In this process, a turning tool moves along the workpiece repeatedly. It could be seem as a periodically moving load which includes radial motion-dependent force and axial tension and compression distributed forces. To analyze the dynamic response of the workpiece after numerous turning cycles, those external forces are periodic functions in the forms of Fourier series. A rotating Rayleigh beam with periodically radial and axial forces was considered. The governing equations were derived by Hamilton's principle and expressed in a dimensionless form. The equation of motions was turned into discrete equations by Galerkin's method. For each mode, the stability of the rotating beam was analyzed by the method of multiple scales and Floquet theory. The differential equations were also solved by Runge-Kutta method. The phenomena of stability analysis and spectrum analysis are discussed. Finally, the time responses of the beam are showed and discussed.